Conserved- and zero-mean quadratic quantities in oscillatory systems

P Rapisarda*, JC Willems

*Corresponding author for this work

    Research output: Contribution to journalArticleAcademicpeer-review

    Abstract

    We study quadratic functionals of the variables of a linear oscillatory system and their derivatives. We show that such functionals are partitioned in conserved quantities and in trivially- and intrinsic zero-mean quantities. We also state an equipartition of energy principle for oscillatory systems.

    Original languageEnglish
    Pages (from-to)173-200
    Number of pages28
    JournalMathematics of Control Signals and Systems
    Volume17
    Issue number3
    DOIs
    Publication statusPublished - Aug 2005

    Keywords

    • linear oscillatory systems
    • two-variable polynomial matrices
    • quadratic differential forms
    • behavioral system theory
    • equipartition of energy
    • DIFFERENTIAL FORMS
    • INTERCONNECTED SYSTEMS

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